Natural frequency of pulley system

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SUMMARY

The discussion focuses on calculating the natural frequency of a pulley system using the equation ma + kx = 0. The user expresses familiarity with solving similar problems when the spring is positioned centrally but encounters difficulties with the current setup. The conversation highlights the importance of understanding free body diagrams in analyzing mechanical systems. Ultimately, the user confirms they have resolved their issue.

PREREQUISITES
  • Understanding of Newton's second law of motion (ma = F)
  • Familiarity with Hooke's Law (F = kx)
  • Knowledge of free body diagrams and their application in mechanics
  • Basic concepts of oscillatory motion and natural frequency
NEXT STEPS
  • Study the derivation of natural frequency in mechanical systems
  • Learn about the application of free body diagrams in complex pulley systems
  • Explore the energy method for analyzing oscillatory systems
  • Investigate the effects of spring placement on system dynamics
USEFUL FOR

Students studying physics, mechanical engineers, and anyone interested in understanding the dynamics of pulley systems and oscillatory motion.

kyu
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Homework Statement


https://www.physicsforums.com/attachments/197474

Homework Equations


3. The Attempt at a Solution [/B]
ma + kx = 0
I know how to do it if the spring is in the middle of the pulley, not using energy method. by the free body diagram. But I am stuck at this. [Updated: I know how to solve already]
 

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the picture is of very bad quality
 

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